SOLUTION & ANSWER FOR AIEEE-2008

 VERSION – A1

 

[PHYSICS, CHEMISTRY & MATHEMATICS]

 

PART A - PHYSICS

 

1.     A body of mass m = 3.513 kg …….

 

        Ans :  3

 

        Sol:     min (4, 3)

                    = 3

               

2.     Consider a uniform square plate of side …….

       

        Ans :  

 

        Sol:       I = I _cm + md²

                      =

                     =

 

3.     The speed of sound in oxygen ……..

 

        *Ans :     1419 m/s

 

        Sol:

               

                =

               

                v _He =

                = 1419 m/s

 

                        * None of the given answers matches with our           answer.

 

4.     A thin spherical shell of radius R has ……..

 

        Ans :

 

 

 

        Sol:     E = 0, r < R

                    E = r > R

       

 

 

 

 

 

 

5.     Relative permittivity and permeability of a ……

       

        Ans :   e _r = 1.5, m _r = 0.5

       

        Sol:     m _r < 1 for diamagnetic

                    e _r > 1 for all materials             

 

6.     Suppose an electron is attracted towards the ….. 

       

        Ans :   T_n independent of n, r_n µ n

 

        Sol:    

                    Þ independent of n

                    mvr =   Þ r µ n

                   

7.     A block of mass 0.50 kg is moving with a speed…

       

        Ans :   0.67 J

 

        Sol:    

                    =

 

8.     A wave traveling along the x-axis is …..

 

        Ans :   a = 25.00 p , b = p

 

        Sol:     a =

                    b = w =

                    Þ a = 25.00 p , b = p

 

9.     A working transistor with its three legs….

 

        Ans :   it is npn transistor with R as base.

 

        Sol:     Emitter to collector will always be non                        conducting.

 

10.  A jar is filled with two non-mixing …….

 

        Ans :   r ₁ < r ₃ < r ₂

 

        Sol:     r ₃ floats in r ₂ and sinks in r ₁

                    = r ₁ < r ₃ < r ₂

 

11.  An athlete in the Olympic games…….

 

        Ans :   2000 J – 5000 J

 

        Sol:     v is of the order of 10 ms^{- 1} and mass is             around 50 kg Þ 2000 J – 5000 J

 

12.  A parallel plate capacitor with air between……

 

        Ans :   40.5 pF

 

        Sol:     C ₁ = 9 ´ 3 ´ 3 = 81

                    C ₂ =

                    C = = 40.5 pF

 

13.  The dimension of magnetic field in …….

 

        Ans : MT^{- 1}C^{- 1}

 

        Sol:     F = Bqv

                    [B] =

                    = MT^{- 1}C^{- 1}

 

14.  A body is at rest at x = 0. At t = 0 …….

 

        Ans :  

 

 

 

 

 

        Sol:     x ₁ - x₂ =

 

 

 

 

 

15.  In the circuit below, A and B represent …..

 

        Ans :   OR gate

 

        Sol:     Either A or B is high, it pulls C high

                    Þ OR gate

 

16.  While measuring the speed of sound ……

 

        Ans :   x > 54

 

        Sol:     Speed increases slightly with                               temperature Þ l increases Þ for second             resonance x > 54

 

17.  Shown in the figure below is a meter-bridge…..

 

        Ans :   220 W

 

        Sol:    

                    R = 220 W

 

18.  A spherical solid ball of volume V is …….

 

        Ans :  

 

        Sol:     Kv ² = mg - F_B

                    = (r ₁- r ₂) Vg

                    v =

 

19.  A thin rod of length ‘L’ is lying along ……

 

        Ans :  

 

 

 

 

 

 

        Sol:     x _cm = =